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Finding the Fourth Proportional to 209,490.62, 314,285.13 and 69,249.24

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Solution

The fourth proportional to 209,490.62, 314,285.13 and 69,249.24 is: 103,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,490.62 : 314,285.13 = 69,249.24 : x
  2. Step 2: Convert to fraction form
    209,490.62/314,285.13 = 69,249.24/x
  3. Step 3: Cross multiply
    209,490.62x = 314,285.13 × 69,249.24
  4. Step 4: Simplify right side
    209,490.62x = 21,764,006,395.80
  5. Step 5: Solve for x
    x = 21,764,006,395.80/209,490.62
  6. Step 6: Final answer
    x = 103,890.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.